Mathematics for Machine Learning: Linear Algebra
Coursera
In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if youâve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning.
More resources on Linear Transformations
Paul's Online Notes - Linear Algebra
Detailed notes on linear transformations
The linear transformation view of matrices
Matrices as transformations
Linear transformations | Essence of linear algebra, chapter 2
Visual intuition for linear transformations
Essence of Linear Algebra
Visualize linear transformations with 3Blue1Brown's "Essence of Linear Algebra" course. Master core concepts through intuitive explanations!
Linear Algebra (18.06)
Learn linear transformations with Gilbert Strang's MIT 18.06 course. Master vectors, matrices, and more!
ocw.mit.edu
MIT OpenCourseWare (OCW) is a free, open repository of MIT course materialsâlecture notes, assignments, exams, and video lecturesâmade available to the public. It provides resources across many subjects, including linear algebra topics like linear transformations.
